In this review paper, we are mainly concerned with the finite difference methods, the
Galerkin finite element methods, and the spectral methods for fractional partial differential …

In the paper, a combined form of the Sumudu transform method with the Adomian
decomposition method in the sense of local fractional derivative, is proposed to solve …

In this study a new framework for solving three-dimensional (3D) time fractional diffusion
equation with variable-order derivatives is presented. Firstly, a θ-weighted finite difference …

Multi-term variable-order fractional differential equations (VO-FDEs) are considered to be
one of the tools to illustrate the behavior of transient-regime real-life phenomena precisely …

Fractal geometry has been successfully applied to the study of structures and transport
properties of porous media due to its scale invariant property. A new fractal probability …

In this manuscript, a type of Fokker–Planck equation (FPE) with Caputo–Fabrizio fractional
derivative is considered. We present a numerical approach which is based on the Ritz …

The return level is an important measure for the extreme precipitation, and maps of the
return level are used to derive information for the design of hydrological and hydraulic …

In this paper, with the aim of extending an elegant and straightforward numerical
approximation to describe one of the most common physical phenomena has been …

The purpose of this contribution is to present or implement generalized finite difference
method (GFDM) for the first time in order to solve the reaction convection Diffusion equation …

Pressurized electro-dewatering technology is considered to be one of the most effective
methods for improving dewatering performance of sewage sludge. In this paper, four …